Maths Olympiad Prep

Library / UKMT Intermediate Mathematical Challenge /163 of 267

UKMT Intermediate Mathematical Challenge, 2024

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

The ages of Grannie's seven grandchildren are consecutive positive integers. The youngest three grandchildren have a mean age of 6. What is the mean age of the oldest three grandchildren?

(A) 88 (B) 99 (C) 1010 (D) 1111 (E) 1212

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.